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Embeddings into Thompson's groups from quasi-median geometry
Article de revue   Avec comité de lecture

Embeddings into Thompson's groups from quasi-median geometry

Anthony Genevois
Groups, geometry and dynamics, Vol.13(4), pp.1457-1510
01/01/2019

Résumé

Mathematics Physical Sciences Science & Technology
The main result of this article is that any braided (resp. annular, planar) diagram group D splits as a short exact sequence 1 -> R -> D -> S -> 1 where R is a subgroup of some right-angled Artin group and S a subgroup of Thompson's group V (resp. T, F). As an application, we show that several braided diagram groups embed into Thompson's group V, including Higman's groups V-n,V- r, groups of quasi-automorphisms QV(n, r, p), and generalised Houghton's groups H-n,H- p.

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